Energie: Difference between revisions
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<math>E^2=m^2 c^4 + \underline{p}^2 c^2</math> | <math>E^2=m^2 c^4 + \underline{p}^2 c^2</math> | ||
mit Impuls | mit Impuls | ||
<math>\left| \underline{p} \right|=\gamma {{m}_{0}}\left| \underline{v} \right|</math> | <math>\left| \underline{p} \right|=\gamma {{m}_{0}}\left| \underline{v} \right|</math> | ||
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<math>E=\hbar \omega </math> | <math>E=\hbar \omega </math> | ||
[[Kategorie:Definition]] | [[Kategorie:Definition Mechanik]] |
Revision as of 17:34, 16 August 2010
mit Impuls
folgt
Taylor-Entwicklung für kleine Geschwindigkeiten:
$Assumptions = c > 0 && Subscript[m, 0] >= 0 && p >= 0 && v >= 0;
Energy := Sqrt[Subscript[m, 0]^2*c^4 + p^2*c^2];
EnergyAppox := Series[Energy, {p, 0, 5}] // Simplify;
Print["E" == EnergyAppox]